You don't get any forms as the employment is British but the tax forms are American. So, I guess to answer your question, they don't really know how much you make. You could probably claim that you don't make anything over here. Then again, the Inland Revenue keeps your tax records and if the US Treasury ever asked the Inland Revenue about your details, however unlikely, you could be in trouble, I suppose.
The same goes with interest earned, yes it is earned income so should be reported, I would assume, but there's no form because the IRS forms are only setup for US income sources.
Matt